211350532008 has 256 divisors, whose sum is σ = 669139107840. Its totient is φ = 54037094400.

The previous prime is 211350531989. The next prime is 211350532037. The reversal of 211350532008 is 800235053112.

211350532008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34234810 + ... + 34240982.

It is an arithmetic number, because the mean of its divisors is an integer number (2613824640).

Almost surely, 2^211350532008 is an apocalyptic number.

211350532008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211350532008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334569553920).

211350532008 is an abundant number, since it is smaller than the sum of its proper divisors (457788575832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211350532008 is a wasteful number, since it uses less digits than its factorization.

211350532008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488 (or 6484 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 211350532008 in words is "two hundred eleven billion, three hundred fifty million, five hundred thirty-two thousand, eight".